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Finding the Fourth Proportional to 657,840.45, 987,106.47 and 466,946.79

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Solution

The fourth proportional to 657,840.45, 987,106.47 and 466,946.79 is: 700,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,840.45 : 987,106.47 = 466,946.79 : x
  2. Step 2: Convert to fraction form
    657,840.45/987,106.47 = 466,946.79/x
  3. Step 3: Cross multiply
    657,840.45x = 987,106.47 × 466,946.79
  4. Step 4: Simplify right side
    657,840.45x = 460,926,197,554.73
  5. Step 5: Solve for x
    x = 460,926,197,554.73/657,840.45
  6. Step 6: Final answer
    x = 700,665.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.